Use our free GCF of Fractions Calculator tool to compute the GCF of 70/66, 673/39, 947/214 i.e 1/91806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/66, 673/39, 947/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/66,673/39,947/214
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 70/66,673/39,947/214, numerators are 70,673,947
Denominators are 66,39,214
The GCF of 70,673,947 is 1 .
LCM of 66,39,214 is 91806.
The greatest common factor of 70/66,673/39,947/214 = [GCF of 70,673,947]/[LCM of 66,39,214]= 1/91806
Therefore, the GCF of 70/66,673/39,947/214 is 1/91806.
To find the highest common factor of 70,673,947, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 673 are 1, 673
The factors of 947 are 1, 947
The HCF of 70,673,947 is 1.
Lets's calculate GCF of 70,673,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 673
:1,673
Now, list down the factors of 947
:1,947
Greatest Common Factor
We found the factors 70,673,947 . The biggest common factor number is the GCF number.
So the greatest common factor 70,673,947 is 1.
Lets's calculate LCM of 66,39,214
2 | 66, 39, 214 |
3 | 33, 39, 107 |
11, 13, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 x 107 = 91806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91806
Therefore, the GCF of Fractions 70/66,673/39,947/214 is 1/91806
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 66,39,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,39,214) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,39,214) x common factors =1 x 6 = 6
LCM(66,39,214) = ( 66 × 39 × 214 ) / 6
LCM(66,39,214) = 550836 / 6
LCM(66,39,214) = 91806
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,673,947?
The HCF of 70,673,947 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 70/66, 673/39, 947/214?
Answer: GCF of Numerators as per given numbers 70/66, 673/39, 947/214 is
GCF of Numerators i.e. for 70,673,947 is 1
LCM of denominators i.e. for 66,39,214 is 91806.
Thus, GCF of Fractions is 1/91806.Finally, GCF of Fractions for 70/66, 673/39, 947/214 is 1/91806.